2,050,829

11² × 17 × 997

Starting at 2,050,829, the Collatz iteration reaches 1 after 104 steps. The first transition is 6152488; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 17 × 997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,389,212

Proper Divisor Sum 338,383

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2050823 ← → #2050831

Radix Representation

Decimal	2050829
Binary	111110100101100001101 (21 bits)
Octal	0o7645415
Hexadecimal	0x1F4B0D

Divisor Catalog (12)

1 11 17 121 187 997 2,057 10,967 16,949 120,637 186,439 2,050,829

Collatz Trajectory (104 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,050,829 6,152,488 3,076,244 1,538,122 769,061 2,307,184 1,153,592 576,796 288,398 144,199 432,598 216,299 648,898 324,449 973,348 486,674 243,337 730,012 365,006 182,503 547,510 273,755 821,266 410,633 1,231,900 615,950 307,975 923,926 461,963 1,385,890 692,945 2,078,836 1,039,418 519,709 1,559,128 779,564 389,782 194,891 584,674 292,337 877,012 438,506 219,253 657,760 328,880 164,440 82,220 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168

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